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DENIUS [597]
3 years ago
10

Margie's car can go 32 32 miles on a gallon of gas, and gas currently costs 4 4 per gallon. How many miles can Margie drive on $

20 $20 worth of gas?
Mathematics
1 answer:
meriva3 years ago
4 0
X=$20/$4
x=5 gallons

x is the amount of gallons.

1 gallon=32 miles
5 gallons=160 miles

Margie can drive 160 miles on $20 of gas

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2 years of tuitiom costs about $7228 at pine tech. Write slope as cost per year (1 year)
LUCKY_DIMON [66]
Here you need to find the "unit rate," that is, the tuition cost per year:

<span>2 years of tuition costs about $7228 at pine tech. Write slope as cost per year (1 year)

Rise     $7228
------ = ------------ = $3614 per year.  This slope is POSITIVE, and the 
Run        2 yr         function for "tuition as a function of the # of years"
                              is linear and the relationship is proportional.</span>
5 0
4 years ago
If f(x) = 5x – 2 and g(x) = 2x + 1, find (f+9)(x).<br><br> A)3x-1<br> B)7x-1<br> C)7x-3<br> D)4x-3
Damm [24]
<h3>Answer:</h3>

B) 7x - 1

<h3>Step-by-step explanation:</h3>

In this question, you're going to solve by adding both f(x) and g(x) together.

You're finding (f+g)(x), meaning that you will be adding both of the equations to get your answer.

What (f+g)(x) looks like:

(5x - 2 + 2x + 1)(x)

What you would do is solve to get your answer. You're going to be combining like-terms and adding.

(5x - 2 + 2x + 1)(x)\\\\\text{Combine the values with x}\\\\7x-2+1\\\\\text{Now you would finish by adding -2 and 1}\\\\7x -1

When you're done solving, you should get 7x - 1

This means that B) 7x - 1 would be the correct answer.

<h3>I hope this helps you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
4 0
3 years ago
Amy solved the equation 2x ^ 2 + 5x - 42 = 0 She stated that the solutions to the equation were 7/2 and -6. Do you agree with Am
elena-14-01-66 [18.8K]

Answer:

The answer to your question is Amy is correct.

Step-by-step explanation:

Data

Equation              2x² + 5x - 42 = 0

-Factor

 2 x 42 = 84

- Find the prime factors of 84

                                       84     2

                                       42     2

                                        21     3

                                          7     7

                                           1

84 = 2² 3 7

-Find two numbers that added gives 5

 These numbers are 12 and -7

- Express the equation using these numbers

                          2x² + 12x - 7x - 42

-Factor by common factor

                          2x(x + 6) -7(x + 6)

-Factor by grouping

                              (x + 6)(2x - 7)

-Find the roots

                        x₁ + 6 = 0            2x₂ - 7 = 0

                        x₁ = -6                 2x₂ = 7

                                                     x₂ = 7/2

8 0
3 years ago
Martin bought a painting for $5,000. It is expected to appreciate at a continuous rate of 4%. How much will the painting be wort
IRINA_888 [86]
5000:100=50. 50*4=200 5000-200=4800 do the same 5times more, always taking the last number, so now start with 4800:100....
6 0
4 years ago
The area of a playground is 336 yd?. The width of the playground is 5 yd longer than its length. Find the length and width of th
notka56 [123]

Answer:

length = 16 yd, width = 21 yd

Step-by-step explanation:

A= l*w

336=l*w

w=5+l

336=l*(5+l)

l²+5l-336=0

l= 16, -21

length cant be negative so

l=16

plug l in to find w

w=21

7 0
3 years ago
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